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Finding the Fourth Proportional to 896.73, 1,343.31 and 690.58

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Solution

The fourth proportional to 896.73, 1,343.31 and 690.58 is: 1,034.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.73 : 1,343.31 = 690.58 : x
  2. Step 2: Convert to fraction form
    896.73/1,343.31 = 690.58/x
  3. Step 3: Cross multiply
    896.73x = 1,343.31 × 690.58
  4. Step 4: Simplify right side
    896.73x = 927,663.02
  5. Step 5: Solve for x
    x = 927,663.02/896.73
  6. Step 6: Final answer
    x = 1,034.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.